OCR MEI C3 2012 January — Question 5 6 marks

Exam BoardOCR MEI
ModuleC3 (Core Mathematics 3)
Year2012
SessionJanuary
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicFunction Transformations
TypeDescribe transformation from graph
DifficultyModerate -0.3 This is a standard C3 transformations question requiring students to identify two sequential transformations from graphs and write the resulting function expressions. While it requires careful observation and correct application of transformation rules (translations, stretches, reflections), it's a routine textbook-style question with no novel problem-solving required. The two-step nature and potential for sign errors keep it from being trivial, but it remains slightly easier than average for A-level.
Spec1.02w Graph transformations: simple transformations of f(x)

Each of the graphs of \(y = \text{f}(x)\) and \(y = \text{g}(x)\) below is obtained using a sequence of two transformations applied to the corresponding dashed graph. In each case, state suitable transformations, and hence find expressions for \(\text{f}(x)\) and \(\text{g}(x)\).
  1. \includegraphics{figure_5i} [3]
  2. \includegraphics{figure_5ii} [3]

Each of the graphs of $y = \text{f}(x)$ and $y = \text{g}(x)$ below is obtained using a sequence of two transformations applied to the corresponding dashed graph. In each case, state suitable transformations, and hence find expressions for $\text{f}(x)$ and $\text{g}(x)$.

\begin{enumerate}[label=(\roman*)]
\item
\includegraphics{figure_5i} [3]

\item
\includegraphics{figure_5ii} [3]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C3 2012 Q5 [6]}}